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Finding the Third Proportional to 35,171 and 74,954

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Solution

The third proportional to 35,171 and 74,954 is: 159,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,171 : 74,954 = 74,954 : x
  2. Step 2: Convert to fraction form
    35,171/74,954 = 74,954/x
  3. Step 3: Cross multiply
    35,171x = 74,954 × 74,954
  4. Step 4: Simplify right side
    35,171x = 5,618,102,116
  5. Step 5: Solve for x
    x = 5,618,102,116/35,171
  6. Step 6: Final answer
    x = 159,736.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.